POST UTME ESUT 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 20 kg object is moving in a circular path of radius 5 m with a speed of 3 m/s. What is the magnitude of the centripetal force acting on the object?
A. 36 N
B. 72 N
C. 144 N
D. 288 N
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?
A. 16 N
B. 32 N
C. 64 N
D. 128 N
Question 3
A 2.0 m long rod is rotating at 10 rad/s about one \end. If the moment of inertia about the other \end is 0.5 kg m^2, what is the angular momentum about the other \end?
A. 5.0 kg m^2/s
B. 10 kg m^2/s
C. 15 kg m^2/s
D. 20 kg m^2/s
Question 4
A 2.0 kg block of ice is placed on a frictionless surface at a temperature of 0°C. If 4.2 kJ of heat energy is added to the block, what is the final temperature of the block?
A. 10°C
B. 20°C
C. 30°C
D. 40°C
Question 5
A 10 kg object is moving in a circular path of radius 5 m with a speed of 2 m/s. What is the magnitude of the centripetal force acting on the object?
A. 4 N
B. 8 N
C. 16 N
D. 32 N
Question 6
A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular coil of radius 0.2 m. If the coil carries a current of 2 A, calculate the magnitude of the magnetic moment of the coil.
A. 0.1 A·m²
B. 0.2 A·m²
C. 0.3 A·m²
D. 0.4 A·m²
Question 7
A particle of mass $m$ is moving in a one-dimensional potential given by $V(x) = \frac{1}{2}kx^2$. If the particle's energy is $E$, what is the maximum value of the particle's position?
A. \frac{E}{k}
B. \frac{k}{E}
C. \frac{1}{2}k
D. \frac{E}{2k}
Question 8
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 9
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground-state wave function of the particle is given by \\psi_0(x) = \sqrt{\frac{m}{L}} \sinleft\( \frac{pi x}{L}\right \). Calculate the expectation value of the position operator $\hat{x}$ in the ground state.
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. L
Question 10
A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?
A. 220 Hz
B. 240 Hz
C. 260 Hz
D. 280 Hz
Question 11
A particle of mass 5 kg is moving in a circular path of radius 2 m with a speed of 3 m/s. What is the magnitude of the centripetal force acting on the particle?
A. 9 N
B. 18 N
C. 36 N
D. 72 N
Question 12
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the plates, what is the charge stored on each plate?
A. 0.2 C
B. 0.4 C
C. 0.6 C
D. 0.8 C
Question 13
A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$ and then disconnected from the battery. If the capacitor is then connected to a resistor of resis\tance $R$, what is the time cons\tant of the circuit?
Question 14
A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. The switch is closed at t = 0 s. What is the charge on the capacitor at t = 10 ms?
A. 0.5 μC
B. 1.0 μC
C. 1.5 μC
D. 2.0 μC
Question 15
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 100 Ω, what is the current flowing through the bulb?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A

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